Search a number
-
+
141141132 = 2232111073331
BaseRepresentation
bin10000110100110…
…10010010001100
3100211120201020100
420122122102030
5242113004012
622001051100
73332452116
oct1032322214
9324521210
10141141132
1172741470
123b326a90
1323319882
1414a603b6
15c5ce8dc
hex869a48c

141141132 has 72 divisors (see below), whose sum is σ = 392962752. Its totient is φ = 42357600.

The previous prime is 141141127. The next prime is 141141167. The reversal of 141141132 is 231141141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40707 + ... + 44037.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2141141132 is an apocalyptic number.

141141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196481376).

141141132 is an abundant number, since it is smaller than the sum of its proper divisors (251821620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141141132 is a wasteful number, since it uses less digits than its factorization.

141141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3454 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 141141132 is about 11880.2833299547. The cubic root of 141141132 is about 520.6563851141.

Adding to 141141132 its reverse (231141141), we get a palindrome (372282273).

Subtracting 141141132 from its reverse (231141141), we obtain a palindrome (90000009).

The spelling of 141141132 in words is "one hundred forty-one million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1177 1284 1926 2354 3331 3531 3852 4708 6662 7062 9993 10593 13324 14124 19986 21186 29979 36641 39972 42372 59958 73282 109923 119916 146564 219846 329769 356417 439692 659538 712834 1069251 1319076 1425668 2138502 3207753 3920587 4277004 6415506 7841174 11761761 12831012 15682348 23523522 35285283 47047044 70570566 141141132